Random walk on the incipient infinite cluster on trees
Barlow, Martin T. ; Kumagai, Takashi
arXiv, 0503118 / Harvested from arXiv
Text on arXiv
Let ${\cal G}$ be the incipient infinite cluster (IIC) for percolation on a homogeneous tree of degree $n_0+1$. We obtain estimates for the transition density of the continuous time simple random walk $Y$ on ${\cal G}$; the process satisfies anomalous diffusion and has spectral dimension 4/3.
Publié le : 2005-03-07
Classification:  Mathematics - Probability,  Mathematical Physics,  60K37,  60J80, 60J35 
@article{0503118,
     author = {Barlow, Martin T. and Kumagai, Takashi},
     title = {Random walk on the incipient infinite cluster on trees},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0503118}
}

Barlow, Martin T.; Kumagai, Takashi. Random walk on the incipient infinite cluster on trees. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0503118/